2. In a rhombus PQRS if PQ = 7.5 then find QR.
If angle QPS = 75° then find the measure of angle PQR and angle
SRQ.​

2 thoughts on “2. In a rhombus PQRS if PQ = 7.5 then find QR.<br />If angle QPS = 75° then find the measure of angle PQR and angle<br />SRQ.​”

1. s3

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   Sum

   In a rhombus PQRS if PQ = 7.5 then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.

   SOLUTION

   All the sides of a rhombus are equal.

   So, PQ = QR = 7.5 cm

   A rhombus is also a parallelogram so,

   ∠QPS = ∠SRQ = 75°

   (opposite angles of a parallelogram are congruent)

   Also, ∠QPS + ∠PQR = 180°

   (interior angles on the same side of the transversal are supplementary)

   ⇒ 75° + ∠ PQR = 180°

   ⇒ ∠PQR = 105°

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2. Answer:

   so pQ = QR = 7.5 cm. A rhombus is also a parallelogram so,. ∠QPS = ∠SRQ = 75° (opposite angles of a parallelogram are congruent). Also, ∠QPS + ∠PQR …

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